105001000506105 has 32 divisors (see below), whose sum is σ = 183283484261760. Its totient is φ = 50907073044480.

The previous prime is 105001000506071. The next prime is 105001000506113. The reversal of 105001000506105 is 501605000100501.

It is not a de Polignac number, because 105001000506105 - 2⁹ = 105001000505593 is a prime.

It is a super-2 number, since 2×105001000506105² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12275070 + ... + 18991559.

It is an arithmetic number, because the mean of its divisors is an integer number (5727608883180).

Almost surely, 2^{105001000506105} is an apocalyptic number.

105001000506105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105001000506105 is a deficient number, since it is larger than the sum of its proper divisors (78282483755655).

105001000506105 is a wasteful number, since it uses less digits than its factorization.

105001000506105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31287001.

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 105001000506105 its reverse (501605000100501), we get a palindrome (606606000606606).

The spelling of 105001000506105 in words is "one hundred five trillion, one billion, five hundred six thousand, one hundred five".